1 + 1/2 + 1/3 + ...

Aquafina · #1 $Old$ November 2nd, 2009, 07:05 AM

Hi I need hints on any of these questions. I wasn’t able to express the series as a geometric sum or anything I could work with:

1. Prove that 1+1/2+1/3+...+1/1000<10

2. Prove that 1 + 1/2 + 1/3 + 1/4 + ... equals infinity

Jameson · #2 $Old$ November 2nd, 2009, 09:01 AM

Quote:

Originally Posted by Aquafina $View Post$

Hi I need hints on any of these questions. I wasn’t able to express the series as a geometric sum or anything I could work with:

1. Prove that 1+1/2+1/3+...+1/1000<10

2. Prove that 1 + 1/2 + 1/3 + 1/4 + ... equals infinity

One question per thread please.

#2)Use the Integral Test.